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60742640 = 2457313499
BaseRepresentation
bin1110011110110…
…1101111110000
311020022001020102
43213231233300
5111022231030
610005531532
71335206150
oct347555760
9136261212
1060742640
1131318932
1218413ba8
13c779cba
1480d2760
1554ecc45
hex39edbf0

60742640 has 80 divisors (see below), whose sum is σ = 166656000. Its totient is φ = 20148480.

The previous prime is 60742631. The next prime is 60742657. The reversal of 60742640 is 4624706.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15611 + ... + 19109.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 260742640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328000).

60742640 is an abundant number, since it is smaller than the sum of its proper divisors (105913360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60742640 is a wasteful number, since it uses less digits than its factorization.

60742640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 60742640 is about 7793.7564755386. The cubic root of 60742640 is about 393.0953330526.

The spelling of 60742640 in words is "sixty million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1240 1736 2170 2480 3472 3499 4340 6998 8680 13996 17360 17495 24493 27992 34990 48986 55984 69980 97972 108469 122465 139960 195944 216938 244930 279920 391888 433876 489860 542345 759283 867752 979720 1084690 1518566 1735504 1959440 2169380 3037132 3796415 4338760 6074264 7592830 8677520 12148528 15185660 30371320 60742640